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Finding the Fourth Proportional to 4,170.88, 5,756.52 and 2,402.16

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Solution

The fourth proportional to 4,170.88, 5,756.52 and 2,402.16 is: 3,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.88 : 5,756.52 = 2,402.16 : x
  2. Step 2: Convert to fraction form
    4,170.88/5,756.52 = 2,402.16/x
  3. Step 3: Cross multiply
    4,170.88x = 5,756.52 × 2,402.16
  4. Step 4: Simplify right side
    4,170.88x = 13,828,082.08
  5. Step 5: Solve for x
    x = 13,828,082.08/4,170.88
  6. Step 6: Final answer
    x = 3,315.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.